Fuzzy Hyper Pseudo BCK-Ideals of Hyper Pseudo BCK-Algebras

Abstract

In this paper, by considering notion of fuzzy set, we define the 6 types of fuzzy hyper pseudo BCK-ideals denoted by, F₁, F₂, ..., F₆ and strong fuzzy hyper pseudo BCK-ideal on hyper pseudo BCK-algebras. Then investigate their numerous properties. Also describe the relationship between fuzzy hyper pseudo BCK-ideals and hyper pseudo BCK-ideals of hyper pseudo BCK-algebras. Also will obtained the relationship between the fuzzy hyper pseudo BCK-ideals. This relationship is shown in a lattice diagram.

Key words and phrases. Hyper pseudo BCK-algebra, fuzzy hyper pseudo BCK-ideal, hyper pseudo BCK-ideal, strong fuzzy hyper pseudo BCK-ideal.

2010 Mathematics Subject Classification. 06F35; 03G25